Best fitting probability distributions for annual maximum discharge data of the river Kopili, Assam

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Published Jun 1, 2009
DOI: https://doi.org/10.31018/jans.v1i1.34

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Abhijit Bhuyan
Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur-784 028, India
Munindra Borah
Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur-784 028, India

Abstract

In this study our main objective is to determine the best fitting probability distribution for annual maximum flood discharge data of river Kopili, Assam. Various probability distributions i.e. Gumbel (G), generalized extreme value (GEV), normal (N), log-normal (LN3), generalized logistic (GLO), generalized pareto (GPA) and Pearson type-III (PE3) have been used for our study. The L-moments methods have been used for estimating the parameters of all the distributions. The root mean square error (RMSE), model efficiency and D-index (fit in the top six values) together with L-moment ratio diagram is used for goodness of fit measure. It has been observed that Generalized Pareto is the best fitting probability distribution for annual maximum discharge data of river Kopili.

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Keywords

L-moments, Probability distributions, Quantiles, L-moment ratio diagram

References
Greenwood, J. A., Landwehr, J.M., Matlas, N.C. and Wallis, J.R. (1979). Probability weighted moments: Definition and relation to parameters of several distributions expressible in inverse form, Water Resour. Res. , 15(5):1049-1054.
Hosking, J.R.M. and Wallis, J.R. (1997). In: Regional frequency analysis- An approach based on L-moments. New York: Cambridge University Press.
Hosking, J.R.M. (1990). L-moments: Analysis and estimation of distributions using linear combinations of order statistics, J.R. Stat. Soc. Ser. B. Methodol., 52 (2):105-124.
Hosking, J.R.M. (1991). Fortran routines for use with the method of L-moments, Version 2. Research Report RC-17097, IBM Thomas J. Watson Research Center, Yorktown Heights, NY.
Kumar, R., Chatterjee, C., Kumar, S., Chani, A.K.L. and Singh, R.D. (2003). Development of regional flood frequency relationships using L-moments for middle Ganga Plains subzone 1(f) of India, Water Resources Management, 17: 243-257.
Rao, A.R. and Hamed, H.K. (2000). In: Flood frequency analysis, Boca Raton, FL, USA: CRC
Issue
Vol 1 No 1 (2009)
Section
Research Articles

This work is licensed under Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) © Author (s)

How to Cite

Best fitting probability distributions for annual maximum discharge data of the river Kopili, Assam. (2009). Journal of Applied and Natural Science, 1(1), 50-52. https://doi.org/10.31018/jans.v1i1.34